integral from 1 to 4 of (10-x)

Lösung

\int_{1}^{4} (10 - x) d x

\frac{45}{2}

Dezimale

22.5

Schritte zur Lösung

\int_{1}^{4} 10 - x d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{1}^{4} 10 d x - \int_{1}^{4} x d x

\int_{1}^{4} 10 d x = 30

\int_{1}^{4} x d x = \frac{15}{2}

= 30 - \frac{15}{2}

Vereinfache

30 - \frac{15}{2} : \frac{45}{2}

= \frac{45}{2}

\int_{0}^{5} 8 d x

\int_{1}^{5} \frac{x}{2 x ^{2} - 1} d x

\int_{- 2}^{- 1} \frac{x}{( x ^{2} + 3 ) ^{2}} d x

\int_{0}^{1} y^{2} 1 - y^{2} d y

\int_{1}^{3} ∣ x ∣ - 1 d x